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Finding the Fourth Proportional to 136,749, 188,720.10 and 77,133

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Solution

The fourth proportional to 136,749, 188,720.10 and 77,133 is: 106,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,749 : 188,720.10 = 77,133 : x
  2. Step 2: Convert to fraction form
    136,749/188,720.10 = 77,133/x
  3. Step 3: Cross multiply
    136,749x = 188,720.10 × 77,133
  4. Step 4: Simplify right side
    136,749x = 14,556,547,473.30
  5. Step 5: Solve for x
    x = 14,556,547,473.30/136,749
  6. Step 6: Final answer
    x = 106,447.20

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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.