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Finding the Fourth Proportional to 102,358.61, 141,259.22 and 57,036.62

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Solution

The fourth proportional to 102,358.61, 141,259.22 and 57,036.62 is: 78,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.61 : 141,259.22 = 57,036.62 : x
  2. Step 2: Convert to fraction form
    102,358.61/141,259.22 = 57,036.62/x
  3. Step 3: Cross multiply
    102,358.61x = 141,259.22 × 57,036.62
  4. Step 4: Simplify right side
    102,358.61x = 8,056,947,461.16
  5. Step 5: Solve for x
    x = 8,056,947,461.16/102,358.61
  6. Step 6: Final answer
    x = 78,712.94

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