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Finding the Fourth Proportional to 130,140.60, 195,210.90 and 51,228.60

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Solution

The fourth proportional to 130,140.60, 195,210.90 and 51,228.60 is: 76,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,140.60 : 195,210.90 = 51,228.60 : x
  2. Step 2: Convert to fraction form
    130,140.60/195,210.90 = 51,228.60/x
  3. Step 3: Cross multiply
    130,140.60x = 195,210.90 × 51,228.60
  4. Step 4: Simplify right side
    130,140.60x = 10,000,381,111.74
  5. Step 5: Solve for x
    x = 10,000,381,111.74/130,140.60
  6. Step 6: Final answer
    x = 76,842.90

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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.