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Finding the Fourth Proportional to 145,712.80, 218,504.40 and 66,851.20

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Solution

The fourth proportional to 145,712.80, 218,504.40 and 66,851.20 is: 100,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,712.80 : 218,504.40 = 66,851.20 : x
  2. Step 2: Convert to fraction form
    145,712.80/218,504.40 = 66,851.20/x
  3. Step 3: Cross multiply
    145,712.80x = 218,504.40 × 66,851.20
  4. Step 4: Simplify right side
    145,712.80x = 14,607,281,345.28
  5. Step 5: Solve for x
    x = 14,607,281,345.28/145,712.80
  6. Step 6: Final answer
    x = 100,247.07

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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.