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Finding the Fourth Proportional to 102,533.72, 153,899.10 and 49,980.11

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Solution

The fourth proportional to 102,533.72, 153,899.10 and 49,980.11 is: 75,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.72 : 153,899.10 = 49,980.11 : x
  2. Step 2: Convert to fraction form
    102,533.72/153,899.10 = 49,980.11/x
  3. Step 3: Cross multiply
    102,533.72x = 153,899.10 × 49,980.11
  4. Step 4: Simplify right side
    102,533.72x = 7,691,894,331.65
  5. Step 5: Solve for x
    x = 7,691,894,331.65/102,533.72
  6. Step 6: Final answer
    x = 75,018.19

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1.5x scale

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.