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Finding the Fourth Proportional to 96,348, 133,106.88 and 77,008.80

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Solution

The fourth proportional to 96,348, 133,106.88 and 77,008.80 is: 106,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348 : 133,106.88 = 77,008.80 : x
  2. Step 2: Convert to fraction form
    96,348/133,106.88 = 77,008.80/x
  3. Step 3: Cross multiply
    96,348x = 133,106.88 × 77,008.80
  4. Step 4: Simplify right side
    96,348x = 10,250,401,100.54
  5. Step 5: Solve for x
    x = 10,250,401,100.54/96,348
  6. Step 6: Final answer
    x = 106,389.35

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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.