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Finding the Fourth Proportional to 130,544, 180,150.72 and 77,552

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Solution

The fourth proportional to 130,544, 180,150.72 and 77,552 is: 107,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,544 : 180,150.72 = 77,552 : x
  2. Step 2: Convert to fraction form
    130,544/180,150.72 = 77,552/x
  3. Step 3: Cross multiply
    130,544x = 180,150.72 × 77,552
  4. Step 4: Simplify right side
    130,544x = 13,971,048,637.44
  5. Step 5: Solve for x
    x = 13,971,048,637.44/130,544
  6. Step 6: Final answer
    x = 107,021.76

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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.