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Finding the Fourth Proportional to 145,405.70, 218,108.54 and 40,221.93

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Solution

The fourth proportional to 145,405.70, 218,108.54 and 40,221.93 is: 60,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,405.70 : 218,108.54 = 40,221.93 : x
  2. Step 2: Convert to fraction form
    145,405.70/218,108.54 = 40,221.93/x
  3. Step 3: Cross multiply
    145,405.70x = 218,108.54 × 40,221.93
  4. Step 4: Simplify right side
    145,405.70x = 8,772,746,428.28
  5. Step 5: Solve for x
    x = 8,772,746,428.28/145,405.70
  6. Step 6: Final answer
    x = 60,332.89

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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.