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Finding the Fourth Proportional to 55,773,978.83, 76,969,957.64 and 30,995,210.06

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Solution

The fourth proportional to 55,773,978.83, 76,969,957.64 and 30,995,210.06 is: 42,774,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773,978.83 : 76,969,957.64 = 30,995,210.06 : x
  2. Step 2: Convert to fraction form
    55,773,978.83/76,969,957.64 = 30,995,210.06/x
  3. Step 3: Cross multiply
    55,773,978.83x = 76,969,957.64 × 30,995,210.06
  4. Step 4: Simplify right side
    55,773,978.83x = 2,385,700,005,361,102
  5. Step 5: Solve for x
    x = 2,385,700,005,361,102/55,773,978.83
  6. Step 6: Final answer
    x = 42,774,427.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.