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Finding the Fourth Proportional to 176,306, 243,406.12 and 107,421.45

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Solution

The fourth proportional to 176,306, 243,406.12 and 107,421.45 is: 148,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,306 : 243,406.12 = 107,421.45 : x
  2. Step 2: Convert to fraction form
    176,306/243,406.12 = 107,421.45/x
  3. Step 3: Cross multiply
    176,306x = 243,406.12 × 107,421.45
  4. Step 4: Simplify right side
    176,306x = 26,147,038,349.27
  5. Step 5: Solve for x
    x = 26,147,038,349.27/176,306
  6. Step 6: Final answer
    x = 148,304.87

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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.