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Finding the Fourth Proportional to 102,102.59, 153,153.92 and 42,130.19

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Solution

The fourth proportional to 102,102.59, 153,153.92 and 42,130.19 is: 63,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.59 : 153,153.92 = 42,130.19 : x
  2. Step 2: Convert to fraction form
    102,102.59/153,153.92 = 42,130.19/x
  3. Step 3: Cross multiply
    102,102.59x = 153,153.92 × 42,130.19
  4. Step 4: Simplify right side
    102,102.59x = 6,452,404,237.06
  5. Step 5: Solve for x
    x = 6,452,404,237.06/102,102.59
  6. Step 6: Final answer
    x = 63,195.30

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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.