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Finding the Fourth Proportional to 130,501.80, 195,752.70 and 100,977.30

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Solution

The fourth proportional to 130,501.80, 195,752.70 and 100,977.30 is: 151,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,501.80 : 195,752.70 = 100,977.30 : x
  2. Step 2: Convert to fraction form
    130,501.80/195,752.70 = 100,977.30/x
  3. Step 3: Cross multiply
    130,501.80x = 195,752.70 × 100,977.30
  4. Step 4: Simplify right side
    130,501.80x = 19,766,579,113.71
  5. Step 5: Solve for x
    x = 19,766,579,113.71/130,501.80
  6. Step 6: Final answer
    x = 151,465.95

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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.