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Finding the Fourth Proportional to 130,793.60, 196,050 and 51,798.08

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Solution

The fourth proportional to 130,793.60, 196,050 and 51,798.08 is: 77,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793.60 : 196,050 = 51,798.08 : x
  2. Step 2: Convert to fraction form
    130,793.60/196,050 = 51,798.08/x
  3. Step 3: Cross multiply
    130,793.60x = 196,050 × 51,798.08
  4. Step 4: Simplify right side
    130,793.60x = 10,155,013,584
  5. Step 5: Solve for x
    x = 10,155,013,584/130,793.60
  6. Step 6: Final answer
    x = 77,641.52

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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.