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Finding the Fourth Proportional to 152,678.48, 210,697.56 and 84,699.90

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Solution

The fourth proportional to 152,678.48, 210,697.56 and 84,699.90 is: 116,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,678.48 : 210,697.56 = 84,699.90 : x
  2. Step 2: Convert to fraction form
    152,678.48/210,697.56 = 84,699.90/x
  3. Step 3: Cross multiply
    152,678.48x = 210,697.56 × 84,699.90
  4. Step 4: Simplify right side
    152,678.48x = 17,846,062,262.24
  5. Step 5: Solve for x
    x = 17,846,062,262.24/152,678.48
  6. Step 6: Final answer
    x = 116,886.56

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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.