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Finding the Fourth Proportional to 130,546, 180,153.48 and 77,554

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Solution

The fourth proportional to 130,546, 180,153.48 and 77,554 is: 107,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,546 : 180,153.48 = 77,554 : x
  2. Step 2: Convert to fraction form
    130,546/180,153.48 = 77,554/x
  3. Step 3: Cross multiply
    130,546x = 180,153.48 × 77,554
  4. Step 4: Simplify right side
    130,546x = 13,971,622,987.92
  5. Step 5: Solve for x
    x = 13,971,622,987.92/130,546
  6. Step 6: Final answer
    x = 107,024.52

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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.