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Finding the Fourth Proportional to 58,977.60, 81,492.72 and 47,138.64

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Solution

The fourth proportional to 58,977.60, 81,492.72 and 47,138.64 is: 65,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977.60 : 81,492.72 = 47,138.64 : x
  2. Step 2: Convert to fraction form
    58,977.60/81,492.72 = 47,138.64/x
  3. Step 3: Cross multiply
    58,977.60x = 81,492.72 × 47,138.64
  4. Step 4: Simplify right side
    58,977.60x = 3,841,455,990.70
  5. Step 5: Solve for x
    x = 3,841,455,990.70/58,977.60
  6. Step 6: Final answer
    x = 65,134.15

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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.