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Finding the Fourth Proportional to 142,753.40, 214,130.10 and 76,398.20

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Solution

The fourth proportional to 142,753.40, 214,130.10 and 76,398.20 is: 114,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,753.40 : 214,130.10 = 76,398.20 : x
  2. Step 2: Convert to fraction form
    142,753.40/214,130.10 = 76,398.20/x
  3. Step 3: Cross multiply
    142,753.40x = 214,130.10 × 76,398.20
  4. Step 4: Simplify right side
    142,753.40x = 16,359,154,205.82
  5. Step 5: Solve for x
    x = 16,359,154,205.82/142,753.40
  6. Step 6: Final answer
    x = 114,597.30

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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.