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Finding the Fourth Proportional to 145,153.80, 217,730.72 and 45,322.55

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Solution

The fourth proportional to 145,153.80, 217,730.72 and 45,322.55 is: 67,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153.80 : 217,730.72 = 45,322.55 : x
  2. Step 2: Convert to fraction form
    145,153.80/217,730.72 = 45,322.55/x
  3. Step 3: Cross multiply
    145,153.80x = 217,730.72 × 45,322.55
  4. Step 4: Simplify right side
    145,153.80x = 9,868,110,128.47
  5. Step 5: Solve for x
    x = 9,868,110,128.47/145,153.80
  6. Step 6: Final answer
    x = 67,983.82

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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.