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Finding the Fourth Proportional to 145,496, 218,244.24 and 40,315.22

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Solution

The fourth proportional to 145,496, 218,244.24 and 40,315.22 is: 60,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,496 : 218,244.24 = 40,315.22 : x
  2. Step 2: Convert to fraction form
    145,496/218,244.24 = 40,315.22/x
  3. Step 3: Cross multiply
    145,496x = 218,244.24 × 40,315.22
  4. Step 4: Simplify right side
    145,496x = 8,798,564,549.33
  5. Step 5: Solve for x
    x = 8,798,564,549.33/145,496
  6. Step 6: Final answer
    x = 60,472.90

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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.