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Finding the Fourth Proportional to 145,417.54, 218,129.05 and 45,575.53

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Solution

The fourth proportional to 145,417.54, 218,129.05 and 45,575.53 is: 68,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.54 : 218,129.05 = 45,575.53 : x
  2. Step 2: Convert to fraction form
    145,417.54/218,129.05 = 45,575.53/x
  3. Step 3: Cross multiply
    145,417.54x = 218,129.05 × 45,575.53
  4. Step 4: Simplify right side
    145,417.54x = 9,941,345,857.56
  5. Step 5: Solve for x
    x = 9,941,345,857.56/145,417.54
  6. Step 6: Final answer
    x = 68,364.14

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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.