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Finding the Fourth Proportional to 153,498, 230,259.96 and 42,690

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Solution

The fourth proportional to 153,498, 230,259.96 and 42,690 is: 64,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,498 : 230,259.96 = 42,690 : x
  2. Step 2: Convert to fraction form
    153,498/230,259.96 = 42,690/x
  3. Step 3: Cross multiply
    153,498x = 230,259.96 × 42,690
  4. Step 4: Simplify right side
    153,498x = 9,829,797,692.40
  5. Step 5: Solve for x
    x = 9,829,797,692.40/153,498
  6. Step 6: Final answer
    x = 64,038.60

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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.