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Finding the Fourth Proportional to 45,319.32, 67,978.98 and 14,157

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Solution

The fourth proportional to 45,319.32, 67,978.98 and 14,157 is: 21,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.32 : 67,978.98 = 14,157 : x
  2. Step 2: Convert to fraction form
    45,319.32/67,978.98 = 14,157/x
  3. Step 3: Cross multiply
    45,319.32x = 67,978.98 × 14,157
  4. Step 4: Simplify right side
    45,319.32x = 962,378,419.86
  5. Step 5: Solve for x
    x = 962,378,419.86/45,319.32
  6. Step 6: Final answer
    x = 21,235.50

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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.