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Finding the Fourth Proportional to 86,829.60, 130,259.90 and 30,702.30

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Solution

The fourth proportional to 86,829.60, 130,259.90 and 30,702.30 is: 46,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,829.60 : 130,259.90 = 30,702.30 : x
  2. Step 2: Convert to fraction form
    86,829.60/130,259.90 = 30,702.30/x
  3. Step 3: Cross multiply
    86,829.60x = 130,259.90 × 30,702.30
  4. Step 4: Simplify right side
    86,829.60x = 3,999,278,527.77
  5. Step 5: Solve for x
    x = 3,999,278,527.77/86,829.60
  6. Step 6: Final answer
    x = 46,058.93

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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.