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Finding the Fourth Proportional to 51,586.40, 77,458.80 and 28,258.40

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Solution

The fourth proportional to 51,586.40, 77,458.80 and 28,258.40 is: 42,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.40 : 77,458.80 = 28,258.40 : x
  2. Step 2: Convert to fraction form
    51,586.40/77,458.80 = 28,258.40/x
  3. Step 3: Cross multiply
    51,586.40x = 77,458.80 × 28,258.40
  4. Step 4: Simplify right side
    51,586.40x = 2,188,861,753.92
  5. Step 5: Solve for x
    x = 2,188,861,753.92/51,586.40
  6. Step 6: Final answer
    x = 42,430.98

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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.