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Finding the Fourth Proportional to 161,798.88, 242,823.64 and 130,286.11

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Solution

The fourth proportional to 161,798.88, 242,823.64 and 130,286.11 is: 195,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,798.88 : 242,823.64 = 130,286.11 : x
  2. Step 2: Convert to fraction form
    161,798.88/242,823.64 = 130,286.11/x
  3. Step 3: Cross multiply
    161,798.88x = 242,823.64 × 130,286.11
  4. Step 4: Simplify right side
    161,798.88x = 31,636,547,938.03
  5. Step 5: Solve for x
    x = 31,636,547,938.03/161,798.88
  6. Step 6: Final answer
    x = 195,530.08

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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.