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Finding the Fourth Proportional to 130,465.65, 195,700.30 and 36,971.40

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Solution

The fourth proportional to 130,465.65, 195,700.30 and 36,971.40 is: 55,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.65 : 195,700.30 = 36,971.40 : x
  2. Step 2: Convert to fraction form
    130,465.65/195,700.30 = 36,971.40/x
  3. Step 3: Cross multiply
    130,465.65x = 195,700.30 × 36,971.40
  4. Step 4: Simplify right side
    130,465.65x = 7,235,314,920.83
  5. Step 5: Solve for x
    x = 7,235,314,920.83/130,465.65
  6. Step 6: Final answer
    x = 55,457.62

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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.