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Finding the Fourth Proportional to 145,417.79, 218,129.42 and 45,575.78

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Solution

The fourth proportional to 145,417.79, 218,129.42 and 45,575.78 is: 68,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.79 : 218,129.42 = 45,575.78 : x
  2. Step 2: Convert to fraction form
    145,417.79/218,129.42 = 45,575.78/x
  3. Step 3: Cross multiply
    145,417.79x = 218,129.42 × 45,575.78
  4. Step 4: Simplify right side
    145,417.79x = 9,941,417,480.74
  5. Step 5: Solve for x
    x = 9,941,417,480.74/145,417.79
  6. Step 6: Final answer
    x = 68,364.52

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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.