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Finding the Fourth Proportional to 153,492.60, 229,813.81 and 78,451.17

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Solution

The fourth proportional to 153,492.60, 229,813.81 and 78,451.17 is: 117,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,492.60 : 229,813.81 = 78,451.17 : x
  2. Step 2: Convert to fraction form
    153,492.60/229,813.81 = 78,451.17/x
  3. Step 3: Cross multiply
    153,492.60x = 229,813.81 × 78,451.17
  4. Step 4: Simplify right side
    153,492.60x = 18,029,161,218.73
  5. Step 5: Solve for x
    x = 18,029,161,218.73/153,492.60
  6. Step 6: Final answer
    x = 117,459.48

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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.