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Finding the Fourth Proportional to 85,298.04, 117,711 and 47,572.26

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Solution

The fourth proportional to 85,298.04, 117,711 and 47,572.26 is: 65,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,298.04 : 117,711 = 47,572.26 : x
  2. Step 2: Convert to fraction form
    85,298.04/117,711 = 47,572.26/x
  3. Step 3: Cross multiply
    85,298.04x = 117,711 × 47,572.26
  4. Step 4: Simplify right side
    85,298.04x = 5,599,778,296.86
  5. Step 5: Solve for x
    x = 5,599,778,296.86/85,298.04
  6. Step 6: Final answer
    x = 65,649.55

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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.