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Finding the Fourth Proportional to 247,430.88, 370,964.58 and 78,854.16

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Solution

The fourth proportional to 247,430.88, 370,964.58 and 78,854.16 is: 118,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,430.88 : 370,964.58 = 78,854.16 : x
  2. Step 2: Convert to fraction form
    247,430.88/370,964.58 = 78,854.16/x
  3. Step 3: Cross multiply
    247,430.88x = 370,964.58 × 78,854.16
  4. Step 4: Simplify right side
    247,430.88x = 29,252,100,345.65
  5. Step 5: Solve for x
    x = 29,252,100,345.65/247,430.88
  6. Step 6: Final answer
    x = 118,223.32

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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.