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Finding the Fourth Proportional to 144,492.78, 216,739.50 and 77,964.24

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Solution

The fourth proportional to 144,492.78, 216,739.50 and 77,964.24 is: 116,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,492.78 : 216,739.50 = 77,964.24 : x
  2. Step 2: Convert to fraction form
    144,492.78/216,739.50 = 77,964.24/x
  3. Step 3: Cross multiply
    144,492.78x = 216,739.50 × 77,964.24
  4. Step 4: Simplify right side
    144,492.78x = 16,897,930,395.48
  5. Step 5: Solve for x
    x = 16,897,930,395.48/144,492.78
  6. Step 6: Final answer
    x = 116,946.54

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1.5x scale

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.