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Finding the Fourth Proportional to 109,531, 151,152.78 and 59,230

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Solution

The fourth proportional to 109,531, 151,152.78 and 59,230 is: 81,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,531 : 151,152.78 = 59,230 : x
  2. Step 2: Convert to fraction form
    109,531/151,152.78 = 59,230/x
  3. Step 3: Cross multiply
    109,531x = 151,152.78 × 59,230
  4. Step 4: Simplify right side
    109,531x = 8,952,779,159.40
  5. Step 5: Solve for x
    x = 8,952,779,159.40/109,531
  6. Step 6: Final answer
    x = 81,737.40

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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.