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Finding the Fourth Proportional to 261,457.92, 392,089.60 and 103,633.92

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Solution

The fourth proportional to 261,457.92, 392,089.60 and 103,633.92 is: 155,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,457.92 : 392,089.60 = 103,633.92 : x
  2. Step 2: Convert to fraction form
    261,457.92/392,089.60 = 103,633.92/x
  3. Step 3: Cross multiply
    261,457.92x = 392,089.60 × 103,633.92
  4. Step 4: Simplify right side
    261,457.92x = 40,633,782,239.23
  5. Step 5: Solve for x
    x = 40,633,782,239.23/261,457.92
  6. Step 6: Final answer
    x = 155,412.32

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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.