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Finding the Fourth Proportional to 144,068.40, 215,827.20 and 77,486.40

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Solution

The fourth proportional to 144,068.40, 215,827.20 and 77,486.40 is: 116,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,068.40 : 215,827.20 = 77,486.40 : x
  2. Step 2: Convert to fraction form
    144,068.40/215,827.20 = 77,486.40/x
  3. Step 3: Cross multiply
    144,068.40x = 215,827.20 × 77,486.40
  4. Step 4: Simplify right side
    144,068.40x = 16,723,672,750.08
  5. Step 5: Solve for x
    x = 16,723,672,750.08/144,068.40
  6. Step 6: Final answer
    x = 116,081.48

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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.