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Finding the Fourth Proportional to 122,609.68, 183,169.16 and 77,878.24

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Solution

The fourth proportional to 122,609.68, 183,169.16 and 77,878.24 is: 116,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,609.68 : 183,169.16 = 77,878.24 : x
  2. Step 2: Convert to fraction form
    122,609.68/183,169.16 = 77,878.24/x
  3. Step 3: Cross multiply
    122,609.68x = 183,169.16 × 77,878.24
  4. Step 4: Simplify right side
    122,609.68x = 14,264,891,803.08
  5. Step 5: Solve for x
    x = 14,264,891,803.08/122,609.68
  6. Step 6: Final answer
    x = 116,343.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.