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Finding the Fourth Proportional to 102,457.90, 153,686.85 and 101,801.80

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Solution

The fourth proportional to 102,457.90, 153,686.85 and 101,801.80 is: 152,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.90 : 153,686.85 = 101,801.80 : x
  2. Step 2: Convert to fraction form
    102,457.90/153,686.85 = 101,801.80/x
  3. Step 3: Cross multiply
    102,457.90x = 153,686.85 × 101,801.80
  4. Step 4: Simplify right side
    102,457.90x = 15,645,597,966.33
  5. Step 5: Solve for x
    x = 15,645,597,966.33/102,457.90
  6. Step 6: Final answer
    x = 152,702.70

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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.