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Finding the Fourth Proportional to 157,301, 217,075.38 and 90,254.60

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Solution

The fourth proportional to 157,301, 217,075.38 and 90,254.60 is: 124,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,301 : 217,075.38 = 90,254.60 : x
  2. Step 2: Convert to fraction form
    157,301/217,075.38 = 90,254.60/x
  3. Step 3: Cross multiply
    157,301x = 217,075.38 × 90,254.60
  4. Step 4: Simplify right side
    157,301x = 19,592,051,591.75
  5. Step 5: Solve for x
    x = 19,592,051,591.75/157,301
  6. Step 6: Final answer
    x = 124,551.35

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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.