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Finding the Fourth Proportional to 42,734.40, 64,103.76 and 14,657.76

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Solution

The fourth proportional to 42,734.40, 64,103.76 and 14,657.76 is: 21,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734.40 : 64,103.76 = 14,657.76 : x
  2. Step 2: Convert to fraction form
    42,734.40/64,103.76 = 14,657.76/x
  3. Step 3: Cross multiply
    42,734.40x = 64,103.76 × 14,657.76
  4. Step 4: Simplify right side
    42,734.40x = 939,617,529.18
  5. Step 5: Solve for x
    x = 939,617,529.18/42,734.40
  6. Step 6: Final answer
    x = 21,987.38

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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.