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Finding the Fourth Proportional to 153,874.16, 212,381.76 and 90,232.46

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Solution

The fourth proportional to 153,874.16, 212,381.76 and 90,232.46 is: 124,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,874.16 : 212,381.76 = 90,232.46 : x
  2. Step 2: Convert to fraction form
    153,874.16/212,381.76 = 90,232.46/x
  3. Step 3: Cross multiply
    153,874.16x = 212,381.76 × 90,232.46
  4. Step 4: Simplify right side
    153,874.16x = 19,163,728,736.82
  5. Step 5: Solve for x
    x = 19,163,728,736.82/153,874.16
  6. Step 6: Final answer
    x = 124,541.57

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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.