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Finding the Fourth Proportional to 78,752.51, 107,809.00 and 78,189.70

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Solution

The fourth proportional to 78,752.51, 107,809.00 and 78,189.70 is: 107,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,752.51 : 107,809.00 = 78,189.70 : x
  2. Step 2: Convert to fraction form
    78,752.51/107,809.00 = 78,189.70/x
  3. Step 3: Cross multiply
    78,752.51x = 107,809.00 × 78,189.70
  4. Step 4: Simplify right side
    78,752.51x = 8,429,553,048.91
  5. Step 5: Solve for x
    x = 8,429,553,048.91/78,752.51
  6. Step 6: Final answer
    x = 107,038.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.