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Finding the Fourth Proportional to 116,656, 160,985.28 and 63,664

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Solution

The fourth proportional to 116,656, 160,985.28 and 63,664 is: 87,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,656 : 160,985.28 = 63,664 : x
  2. Step 2: Convert to fraction form
    116,656/160,985.28 = 63,664/x
  3. Step 3: Cross multiply
    116,656x = 160,985.28 × 63,664
  4. Step 4: Simplify right side
    116,656x = 10,248,966,865.92
  5. Step 5: Solve for x
    x = 10,248,966,865.92/116,656
  6. Step 6: Final answer
    x = 87,856.32

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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.