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Finding the Fourth Proportional to 136,988.78, 205,386.58 and 52,678.11

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Solution

The fourth proportional to 136,988.78, 205,386.58 and 52,678.11 is: 78,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,988.78 : 205,386.58 = 52,678.11 : x
  2. Step 2: Convert to fraction form
    136,988.78/205,386.58 = 52,678.11/x
  3. Step 3: Cross multiply
    136,988.78x = 205,386.58 × 52,678.11
  4. Step 4: Simplify right side
    136,988.78x = 10,819,376,590.37
  5. Step 5: Solve for x
    x = 10,819,376,590.37/136,988.78
  6. Step 6: Final answer
    x = 78,980.02

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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.