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Finding the Fourth Proportional to 115,402, 159,255.24 and 62,410

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Solution

The fourth proportional to 115,402, 159,255.24 and 62,410 is: 86,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,402 : 159,255.24 = 62,410 : x
  2. Step 2: Convert to fraction form
    115,402/159,255.24 = 62,410/x
  3. Step 3: Cross multiply
    115,402x = 159,255.24 × 62,410
  4. Step 4: Simplify right side
    115,402x = 9,939,119,528.40
  5. Step 5: Solve for x
    x = 9,939,119,528.40/115,402
  6. Step 6: Final answer
    x = 86,126.06

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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.