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Finding the Fourth Proportional to 112,867.80, 169,303.14 and 77,798.04

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Solution

The fourth proportional to 112,867.80, 169,303.14 and 77,798.04 is: 116,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,867.80 : 169,303.14 = 77,798.04 : x
  2. Step 2: Convert to fraction form
    112,867.80/169,303.14 = 77,798.04/x
  3. Step 3: Cross multiply
    112,867.80x = 169,303.14 × 77,798.04
  4. Step 4: Simplify right side
    112,867.80x = 13,171,452,457.85
  5. Step 5: Solve for x
    x = 13,171,452,457.85/112,867.80
  6. Step 6: Final answer
    x = 116,698.05

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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.