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Finding the Fourth Proportional to 108,538.40, 162,490.80 and 77,434.40

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Solution

The fourth proportional to 108,538.40, 162,490.80 and 77,434.40 is: 115,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.40 : 162,490.80 = 77,434.40 : x
  2. Step 2: Convert to fraction form
    108,538.40/162,490.80 = 77,434.40/x
  3. Step 3: Cross multiply
    108,538.40x = 162,490.80 × 77,434.40
  4. Step 4: Simplify right side
    108,538.40x = 12,582,377,603.52
  5. Step 5: Solve for x
    x = 12,582,377,603.52/108,538.40
  6. Step 6: Final answer
    x = 115,925.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.