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Finding the Fourth Proportional to 70,200, 96,875.20 and 38,368.80

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Solution

The fourth proportional to 70,200, 96,875.20 and 38,368.80 is: 52,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 96,875.20 = 38,368.80 : x
  2. Step 2: Convert to fraction form
    70,200/96,875.20 = 38,368.80/x
  3. Step 3: Cross multiply
    70,200x = 96,875.20 × 38,368.80
  4. Step 4: Simplify right side
    70,200x = 3,716,985,173.76
  5. Step 5: Solve for x
    x = 3,716,985,173.76/70,200
  6. Step 6: Final answer
    x = 52,948.51

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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.