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Finding the Fourth Proportional to 145,784.16, 218,676.24 and 83,411.28

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Solution

The fourth proportional to 145,784.16, 218,676.24 and 83,411.28 is: 125,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,784.16 : 218,676.24 = 83,411.28 : x
  2. Step 2: Convert to fraction form
    145,784.16/218,676.24 = 83,411.28/x
  3. Step 3: Cross multiply
    145,784.16x = 218,676.24 × 83,411.28
  4. Step 4: Simplify right side
    145,784.16x = 18,240,065,083.99
  5. Step 5: Solve for x
    x = 18,240,065,083.99/145,784.16
  6. Step 6: Final answer
    x = 125,116.92

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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.