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Finding the Fourth Proportional to 152,180.78, 210,076.74 and 90,948.57

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Solution

The fourth proportional to 152,180.78, 210,076.74 and 90,948.57 is: 125,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,180.78 : 210,076.74 = 90,948.57 : x
  2. Step 2: Convert to fraction form
    152,180.78/210,076.74 = 90,948.57/x
  3. Step 3: Cross multiply
    152,180.78x = 210,076.74 × 90,948.57
  4. Step 4: Simplify right side
    152,180.78x = 19,106,178,638.52
  5. Step 5: Solve for x
    x = 19,106,178,638.52/152,180.78
  6. Step 6: Final answer
    x = 125,549.22

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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.