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Finding the Fourth Proportional to 103,428, 142,730.64 and 56,324

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Solution

The fourth proportional to 103,428, 142,730.64 and 56,324 is: 77,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428 : 142,730.64 = 56,324 : x
  2. Step 2: Convert to fraction form
    103,428/142,730.64 = 56,324/x
  3. Step 3: Cross multiply
    103,428x = 142,730.64 × 56,324
  4. Step 4: Simplify right side
    103,428x = 8,039,160,567.36
  5. Step 5: Solve for x
    x = 8,039,160,567.36/103,428
  6. Step 6: Final answer
    x = 77,727.12

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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.