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Finding the Fourth Proportional to 261,547.40, 392,223.90 and 103,743.20

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Solution

The fourth proportional to 261,547.40, 392,223.90 and 103,743.20 is: 155,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,547.40 : 392,223.90 = 103,743.20 : x
  2. Step 2: Convert to fraction form
    261,547.40/392,223.90 = 103,743.20/x
  3. Step 3: Cross multiply
    261,547.40x = 392,223.90 × 103,743.20
  4. Step 4: Simplify right side
    261,547.40x = 40,690,562,502.48
  5. Step 5: Solve for x
    x = 40,690,562,502.48/261,547.40
  6. Step 6: Final answer
    x = 155,576.25

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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.