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Finding the Fourth Proportional to 153,807, 212,253.66 and 86,739

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Solution

The fourth proportional to 153,807, 212,253.66 and 86,739 is: 119,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807 : 212,253.66 = 86,739 : x
  2. Step 2: Convert to fraction form
    153,807/212,253.66 = 86,739/x
  3. Step 3: Cross multiply
    153,807x = 212,253.66 × 86,739
  4. Step 4: Simplify right side
    153,807x = 18,410,670,214.74
  5. Step 5: Solve for x
    x = 18,410,670,214.74/153,807
  6. Step 6: Final answer
    x = 119,699.82

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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.