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Finding the Fourth Proportional to 78,281.55, 117,397.62 and 25,678.80

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Solution

The fourth proportional to 78,281.55, 117,397.62 and 25,678.80 is: 38,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,281.55 : 117,397.62 = 25,678.80 : x
  2. Step 2: Convert to fraction form
    78,281.55/117,397.62 = 25,678.80/x
  3. Step 3: Cross multiply
    78,281.55x = 117,397.62 × 25,678.80
  4. Step 4: Simplify right side
    78,281.55x = 3,014,630,004.46
  5. Step 5: Solve for x
    x = 3,014,630,004.46/78,281.55
  6. Step 6: Final answer
    x = 38,510.10

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1.5x scale

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.