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Finding the Fourth Proportional to 104,164.32, 143,746.64 and 56,417.87

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Solution

The fourth proportional to 104,164.32, 143,746.64 and 56,417.87 is: 77,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,164.32 : 143,746.64 = 56,417.87 : x
  2. Step 2: Convert to fraction form
    104,164.32/143,746.64 = 56,417.87/x
  3. Step 3: Cross multiply
    104,164.32x = 143,746.64 × 56,417.87
  4. Step 4: Simplify right side
    104,164.32x = 8,109,878,247.63
  5. Step 5: Solve for x
    x = 8,109,878,247.63/104,164.32
  6. Step 6: Final answer
    x = 77,856.59

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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.