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Finding the Fourth Proportional to 104,164.31, 143,746.95 and 56,417.70

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Solution

The fourth proportional to 104,164.31, 143,746.95 and 56,417.70 is: 77,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,164.31 : 143,746.95 = 56,417.70 : x
  2. Step 2: Convert to fraction form
    104,164.31/143,746.95 = 56,417.70/x
  3. Step 3: Cross multiply
    104,164.31x = 143,746.95 × 56,417.70
  4. Step 4: Simplify right side
    104,164.31x = 8,109,872,301.02
  5. Step 5: Solve for x
    x = 8,109,872,301.02/104,164.31
  6. Step 6: Final answer
    x = 77,856.54

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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.