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Finding the Fourth Proportional to 142,068.30, 213,102.45 and 89,580.30

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Solution

The fourth proportional to 142,068.30, 213,102.45 and 89,580.30 is: 134,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,068.30 : 213,102.45 = 89,580.30 : x
  2. Step 2: Convert to fraction form
    142,068.30/213,102.45 = 89,580.30/x
  3. Step 3: Cross multiply
    142,068.30x = 213,102.45 × 89,580.30
  4. Step 4: Simplify right side
    142,068.30x = 19,089,781,401.74
  5. Step 5: Solve for x
    x = 19,089,781,401.74/142,068.30
  6. Step 6: Final answer
    x = 134,370.45

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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.