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Finding the Fourth Proportional to 99,855.95, 137,802.14 and 56,833.33

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Solution

The fourth proportional to 99,855.95, 137,802.14 and 56,833.33 is: 78,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,855.95 : 137,802.14 = 56,833.33 : x
  2. Step 2: Convert to fraction form
    99,855.95/137,802.14 = 56,833.33/x
  3. Step 3: Cross multiply
    99,855.95x = 137,802.14 × 56,833.33
  4. Step 4: Simplify right side
    99,855.95x = 7,831,754,294.90
  5. Step 5: Solve for x
    x = 7,831,754,294.90/99,855.95
  6. Step 6: Final answer
    x = 78,430.53

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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.