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Finding the Fourth Proportional to 105,398.56, 145,452.16 and 57,655.04

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Solution

The fourth proportional to 105,398.56, 145,452.16 and 57,655.04 is: 79,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,398.56 : 145,452.16 = 57,655.04 : x
  2. Step 2: Convert to fraction form
    105,398.56/145,452.16 = 57,655.04/x
  3. Step 3: Cross multiply
    105,398.56x = 145,452.16 × 57,655.04
  4. Step 4: Simplify right side
    105,398.56x = 8,386,050,102.89
  5. Step 5: Solve for x
    x = 8,386,050,102.89/105,398.56
  6. Step 6: Final answer
    x = 79,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.