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Finding the Fourth Proportional to 145,529.64, 218,294.52 and 65,474.13

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Solution

The fourth proportional to 145,529.64, 218,294.52 and 65,474.13 is: 98,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,529.64 : 218,294.52 = 65,474.13 : x
  2. Step 2: Convert to fraction form
    145,529.64/218,294.52 = 65,474.13/x
  3. Step 3: Cross multiply
    145,529.64x = 218,294.52 × 65,474.13
  4. Step 4: Simplify right side
    145,529.64x = 14,292,643,780.77
  5. Step 5: Solve for x
    x = 14,292,643,780.77/145,529.64
  6. Step 6: Final answer
    x = 98,211.22

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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.