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Finding the Fourth Proportional to 78,547.92, 108,360.90 and 53,046

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Solution

The fourth proportional to 78,547.92, 108,360.90 and 53,046 is: 73,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,547.92 : 108,360.90 = 53,046 : x
  2. Step 2: Convert to fraction form
    78,547.92/108,360.90 = 53,046/x
  3. Step 3: Cross multiply
    78,547.92x = 108,360.90 × 53,046
  4. Step 4: Simplify right side
    78,547.92x = 5,748,112,301.40
  5. Step 5: Solve for x
    x = 5,748,112,301.40/78,547.92
  6. Step 6: Final answer
    x = 73,179.69

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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.