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Finding the Fourth Proportional to 78,683.98, 108,582.47 and 42,874.24

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Solution

The fourth proportional to 78,683.98, 108,582.47 and 42,874.24 is: 59,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.98 : 108,582.47 = 42,874.24 : x
  2. Step 2: Convert to fraction form
    78,683.98/108,582.47 = 42,874.24/x
  3. Step 3: Cross multiply
    78,683.98x = 108,582.47 × 42,874.24
  4. Step 4: Simplify right side
    78,683.98x = 4,655,390,335.66
  5. Step 5: Solve for x
    x = 4,655,390,335.66/78,683.98
  6. Step 6: Final answer
    x = 59,165.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.