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Finding the Fourth Proportional to 114,638.76, 172,074.78 and 77,080.68

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Solution

The fourth proportional to 114,638.76, 172,074.78 and 77,080.68 is: 115,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,638.76 : 172,074.78 = 77,080.68 : x
  2. Step 2: Convert to fraction form
    114,638.76/172,074.78 = 77,080.68/x
  3. Step 3: Cross multiply
    114,638.76x = 172,074.78 × 77,080.68
  4. Step 4: Simplify right side
    114,638.76x = 13,263,641,053.25
  5. Step 5: Solve for x
    x = 13,263,641,053.25/114,638.76
  6. Step 6: Final answer
    x = 115,699.45

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1.5x scale

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.