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Finding the Fourth Proportional to 86,830.40, 130,288.80 and 49,419.20

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Solution

The fourth proportional to 86,830.40, 130,288.80 and 49,419.20 is: 74,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,830.40 : 130,288.80 = 49,419.20 : x
  2. Step 2: Convert to fraction form
    86,830.40/130,288.80 = 49,419.20/x
  3. Step 3: Cross multiply
    86,830.40x = 130,288.80 × 49,419.20
  4. Step 4: Simplify right side
    86,830.40x = 6,438,768,264.96
  5. Step 5: Solve for x
    x = 6,438,768,264.96/86,830.40
  6. Step 6: Final answer
    x = 74,153.39

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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.