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Finding the Fourth Proportional to 99,856.40, 137,802.76 and 56,833.77

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Solution

The fourth proportional to 99,856.40, 137,802.76 and 56,833.77 is: 78,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856.40 : 137,802.76 = 56,833.77 : x
  2. Step 2: Convert to fraction form
    99,856.40/137,802.76 = 56,833.77/x
  3. Step 3: Cross multiply
    99,856.40x = 137,802.76 × 56,833.77
  4. Step 4: Simplify right side
    99,856.40x = 7,831,850,741.88
  5. Step 5: Solve for x
    x = 7,831,850,741.88/99,856.40
  6. Step 6: Final answer
    x = 78,431.14

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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.