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Finding the Fourth Proportional to 58,602, 80,881.16 and 56,657.68

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Solution

The fourth proportional to 58,602, 80,881.16 and 56,657.68 is: 78,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,602 : 80,881.16 = 56,657.68 : x
  2. Step 2: Convert to fraction form
    58,602/80,881.16 = 56,657.68/x
  3. Step 3: Cross multiply
    58,602x = 80,881.16 × 56,657.68
  4. Step 4: Simplify right side
    58,602x = 4,582,538,881.31
  5. Step 5: Solve for x
    x = 4,582,538,881.31/58,602
  6. Step 6: Final answer
    x = 78,197.65

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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.