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Finding the Fourth Proportional to 99,748, 149,621.82 and 58,165.84

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Solution

The fourth proportional to 99,748, 149,621.82 and 58,165.84 is: 87,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748 : 149,621.82 = 58,165.84 : x
  2. Step 2: Convert to fraction form
    99,748/149,621.82 = 58,165.84/x
  3. Step 3: Cross multiply
    99,748x = 149,621.82 × 58,165.84
  4. Step 4: Simplify right side
    99,748x = 8,702,878,842.63
  5. Step 5: Solve for x
    x = 8,702,878,842.63/99,748
  6. Step 6: Final answer
    x = 87,248.66

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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.