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Finding the Fourth Proportional to 142,116.60, 212,765.30 and 86,820.60

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Solution

The fourth proportional to 142,116.60, 212,765.30 and 86,820.60 is: 129,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.60 : 212,765.30 = 86,820.60 : x
  2. Step 2: Convert to fraction form
    142,116.60/212,765.30 = 86,820.60/x
  3. Step 3: Cross multiply
    142,116.60x = 212,765.30 × 86,820.60
  4. Step 4: Simplify right side
    142,116.60x = 18,472,411,005.18
  5. Step 5: Solve for x
    x = 18,472,411,005.18/142,116.60
  6. Step 6: Final answer
    x = 129,980.67

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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.