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Finding the Fourth Proportional to 145,486.16, 218,232.12 and 75,319.76

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Solution

The fourth proportional to 145,486.16, 218,232.12 and 75,319.76 is: 112,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,486.16 : 218,232.12 = 75,319.76 : x
  2. Step 2: Convert to fraction form
    145,486.16/218,232.12 = 75,319.76/x
  3. Step 3: Cross multiply
    145,486.16x = 218,232.12 × 75,319.76
  4. Step 4: Simplify right side
    145,486.16x = 16,437,190,902.69
  5. Step 5: Solve for x
    x = 16,437,190,902.69/145,486.16
  6. Step 6: Final answer
    x = 112,981.13

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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.