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Finding the Fourth Proportional to 102,854.65, 142,074.93 and 78,940.21

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Solution

The fourth proportional to 102,854.65, 142,074.93 and 78,940.21 is: 109,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.65 : 142,074.93 = 78,940.21 : x
  2. Step 2: Convert to fraction form
    102,854.65/142,074.93 = 78,940.21/x
  3. Step 3: Cross multiply
    102,854.65x = 142,074.93 × 78,940.21
  4. Step 4: Simplify right side
    102,854.65x = 11,215,424,809.94
  5. Step 5: Solve for x
    x = 11,215,424,809.94/102,854.65
  6. Step 6: Final answer
    x = 109,041.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.