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Finding the Fourth Proportional to 144,518.40, 216,680.40 and 77,061.60

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Solution

The fourth proportional to 144,518.40, 216,680.40 and 77,061.60 is: 115,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,518.40 : 216,680.40 = 77,061.60 : x
  2. Step 2: Convert to fraction form
    144,518.40/216,680.40 = 77,061.60/x
  3. Step 3: Cross multiply
    144,518.40x = 216,680.40 × 77,061.60
  4. Step 4: Simplify right side
    144,518.40x = 16,697,738,312.64
  5. Step 5: Solve for x
    x = 16,697,738,312.64/144,518.40
  6. Step 6: Final answer
    x = 115,540.57

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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.