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Finding the Fourth Proportional to 154,248.84, 231,408 and 54,416.16

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Solution

The fourth proportional to 154,248.84, 231,408 and 54,416.16 is: 81,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,248.84 : 231,408 = 54,416.16 : x
  2. Step 2: Convert to fraction form
    154,248.84/231,408 = 54,416.16/x
  3. Step 3: Cross multiply
    154,248.84x = 231,408 × 54,416.16
  4. Step 4: Simplify right side
    154,248.84x = 12,592,334,753.28
  5. Step 5: Solve for x
    x = 12,592,334,753.28/154,248.84
  6. Step 6: Final answer
    x = 81,636.50

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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.