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Finding the Fourth Proportional to 99,357.93, 137,113.83 and 56,916.63

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Solution

The fourth proportional to 99,357.93, 137,113.83 and 56,916.63 is: 78,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,357.93 : 137,113.83 = 56,916.63 : x
  2. Step 2: Convert to fraction form
    99,357.93/137,113.83 = 56,916.63/x
  3. Step 3: Cross multiply
    99,357.93x = 137,113.83 × 56,916.63
  4. Step 4: Simplify right side
    99,357.93x = 7,804,057,129.99
  5. Step 5: Solve for x
    x = 7,804,057,129.99/99,357.93
  6. Step 6: Final answer
    x = 78,544.88

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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.