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Finding the Fourth Proportional to 130,210.40, 194,780.88 and 103,966.40

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Solution

The fourth proportional to 130,210.40, 194,780.88 and 103,966.40 is: 155,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,210.40 : 194,780.88 = 103,966.40 : x
  2. Step 2: Convert to fraction form
    130,210.40/194,780.88 = 103,966.40/x
  3. Step 3: Cross multiply
    130,210.40x = 194,780.88 × 103,966.40
  4. Step 4: Simplify right side
    130,210.40x = 20,250,666,882.43
  5. Step 5: Solve for x
    x = 20,250,666,882.43/130,210.40
  6. Step 6: Final answer
    x = 155,522.65

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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.