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Finding the Fourth Proportional to 152,341.83, 210,233.87 and 87,775.38

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Solution

The fourth proportional to 152,341.83, 210,233.87 and 87,775.38 is: 121,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,341.83 : 210,233.87 = 87,775.38 : x
  2. Step 2: Convert to fraction form
    152,341.83/210,233.87 = 87,775.38/x
  3. Step 3: Cross multiply
    152,341.83x = 210,233.87 × 87,775.38
  4. Step 4: Simplify right side
    152,341.83x = 18,453,357,828.12
  5. Step 5: Solve for x
    x = 18,453,357,828.12/152,341.83
  6. Step 6: Final answer
    x = 121,131.26

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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.