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Finding the Fourth Proportional to 70,784.61, 97,686.80 and 40,574.96

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Solution

The fourth proportional to 70,784.61, 97,686.80 and 40,574.96 is: 55,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.61 : 97,686.80 = 40,574.96 : x
  2. Step 2: Convert to fraction form
    70,784.61/97,686.80 = 40,574.96/x
  3. Step 3: Cross multiply
    70,784.61x = 97,686.80 × 40,574.96
  4. Step 4: Simplify right side
    70,784.61x = 3,963,637,311.22
  5. Step 5: Solve for x
    x = 3,963,637,311.22/70,784.61
  6. Step 6: Final answer
    x = 55,995.75

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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.