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Finding the Fourth Proportional to 145,802.40, 218,833.20 and 124,807.20

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Solution

The fourth proportional to 145,802.40, 218,833.20 and 124,807.20 is: 187,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802.40 : 218,833.20 = 124,807.20 : x
  2. Step 2: Convert to fraction form
    145,802.40/218,833.20 = 124,807.20/x
  3. Step 3: Cross multiply
    145,802.40x = 218,833.20 × 124,807.20
  4. Step 4: Simplify right side
    145,802.40x = 27,311,958,959.04
  5. Step 5: Solve for x
    x = 27,311,958,959.04/145,802.40
  6. Step 6: Final answer
    x = 187,321.74

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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.