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Finding the Fourth Proportional to 102,492.52, 141,439.64 and 57,780.52

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Solution

The fourth proportional to 102,492.52, 141,439.64 and 57,780.52 is: 79,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,492.52 : 141,439.64 = 57,780.52 : x
  2. Step 2: Convert to fraction form
    102,492.52/141,439.64 = 57,780.52/x
  3. Step 3: Cross multiply
    102,492.52x = 141,439.64 × 57,780.52
  4. Step 4: Simplify right side
    102,492.52x = 8,172,455,947.81
  5. Step 5: Solve for x
    x = 8,172,455,947.81/102,492.52
  6. Step 6: Final answer
    x = 79,737.10

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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.