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Finding the Fourth Proportional to 151,053.66, 208,464.23 and 99,978.40

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Solution

The fourth proportional to 151,053.66, 208,464.23 and 99,978.40 is: 137,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,053.66 : 208,464.23 = 99,978.40 : x
  2. Step 2: Convert to fraction form
    151,053.66/208,464.23 = 99,978.40/x
  3. Step 3: Cross multiply
    151,053.66x = 208,464.23 × 99,978.40
  4. Step 4: Simplify right side
    151,053.66x = 20,841,920,683.16
  5. Step 5: Solve for x
    x = 20,841,920,683.16/151,053.66
  6. Step 6: Final answer
    x = 137,976.93

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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.