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Finding the Fourth Proportional to 178,109.04, 245,813.22 and 102,658.08

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Solution

The fourth proportional to 178,109.04, 245,813.22 and 102,658.08 is: 141,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,109.04 : 245,813.22 = 102,658.08 : x
  2. Step 2: Convert to fraction form
    178,109.04/245,813.22 = 102,658.08/x
  3. Step 3: Cross multiply
    178,109.04x = 245,813.22 × 102,658.08
  4. Step 4: Simplify right side
    178,109.04x = 25,234,713,203.82
  5. Step 5: Solve for x
    x = 25,234,713,203.82/178,109.04
  6. Step 6: Final answer
    x = 141,681.26

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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.