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Finding the Fourth Proportional to 178,089.70, 266,710.50 and 103,051.72

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Solution

The fourth proportional to 178,089.70, 266,710.50 and 103,051.72 is: 154,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,089.70 : 266,710.50 = 103,051.72 : x
  2. Step 2: Convert to fraction form
    178,089.70/266,710.50 = 103,051.72/x
  3. Step 3: Cross multiply
    178,089.70x = 266,710.50 × 103,051.72
  4. Step 4: Simplify right side
    178,089.70x = 27,484,975,767.06
  5. Step 5: Solve for x
    x = 27,484,975,767.06/178,089.70
  6. Step 6: Final answer
    x = 154,332.20

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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.