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Finding the Fourth Proportional to 207,492, 286,390.80 and 118,119.84

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Solution

The fourth proportional to 207,492, 286,390.80 and 118,119.84 is: 163,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,492 : 286,390.80 = 118,119.84 : x
  2. Step 2: Convert to fraction form
    207,492/286,390.80 = 118,119.84/x
  3. Step 3: Cross multiply
    207,492x = 286,390.80 × 118,119.84
  4. Step 4: Simplify right side
    207,492x = 33,828,435,473.47
  5. Step 5: Solve for x
    x = 33,828,435,473.47/207,492
  6. Step 6: Final answer
    x = 163,034.89

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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.