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Finding the Fourth Proportional to 157,643.40, 236,465.10 and 74,699.40

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Solution

The fourth proportional to 157,643.40, 236,465.10 and 74,699.40 is: 112,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,643.40 : 236,465.10 = 74,699.40 : x
  2. Step 2: Convert to fraction form
    157,643.40/236,465.10 = 74,699.40/x
  3. Step 3: Cross multiply
    157,643.40x = 236,465.10 × 74,699.40
  4. Step 4: Simplify right side
    157,643.40x = 17,663,801,090.94
  5. Step 5: Solve for x
    x = 17,663,801,090.94/157,643.40
  6. Step 6: Final answer
    x = 112,049.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.