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Finding the Fourth Proportional to 138,646.98, 191,332.68 and 74,984.64

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Solution

The fourth proportional to 138,646.98, 191,332.68 and 74,984.64 is: 103,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.98 : 191,332.68 = 74,984.64 : x
  2. Step 2: Convert to fraction form
    138,646.98/191,332.68 = 74,984.64/x
  3. Step 3: Cross multiply
    138,646.98x = 191,332.68 × 74,984.64
  4. Step 4: Simplify right side
    138,646.98x = 14,347,012,130.04
  5. Step 5: Solve for x
    x = 14,347,012,130.04/138,646.98
  6. Step 6: Final answer
    x = 103,478.72

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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.