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Finding the Fourth Proportional to 77,952.96, 107,574.60 and 42,143.04

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Solution

The fourth proportional to 77,952.96, 107,574.60 and 42,143.04 is: 58,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.96 : 107,574.60 = 42,143.04 : x
  2. Step 2: Convert to fraction form
    77,952.96/107,574.60 = 42,143.04/x
  3. Step 3: Cross multiply
    77,952.96x = 107,574.60 × 42,143.04
  4. Step 4: Simplify right side
    77,952.96x = 4,533,520,670.78
  5. Step 5: Solve for x
    x = 4,533,520,670.78/77,952.96
  6. Step 6: Final answer
    x = 58,157.13

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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.