Home / 78,106.14-117,159.18-31,359

Finding the Fourth Proportional to 78,106.14, 117,159.18 and 31,359

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Solution

The fourth proportional to 78,106.14, 117,159.18 and 31,359 is: 47,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.14 : 117,159.18 = 31,359 : x
  2. Step 2: Convert to fraction form
    78,106.14/117,159.18 = 31,359/x
  3. Step 3: Cross multiply
    78,106.14x = 117,159.18 × 31,359
  4. Step 4: Simplify right side
    78,106.14x = 3,673,994,725.62
  5. Step 5: Solve for x
    x = 3,673,994,725.62/78,106.14
  6. Step 6: Final answer
    x = 47,038.49

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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.