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Finding the Fourth Proportional to 268,507.48, 402,704.48 and 78,916.40

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Solution

The fourth proportional to 268,507.48, 402,704.48 and 78,916.40 is: 118,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,507.48 : 402,704.48 = 78,916.40 : x
  2. Step 2: Convert to fraction form
    268,507.48/402,704.48 = 78,916.40/x
  3. Step 3: Cross multiply
    268,507.48x = 402,704.48 × 78,916.40
  4. Step 4: Simplify right side
    268,507.48x = 31,779,987,825.47
  5. Step 5: Solve for x
    x = 31,779,987,825.47/268,507.48
  6. Step 6: Final answer
    x = 118,357.92

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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.