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Finding the Fourth Proportional to 99,477.82, 137,281.62 and 56,460.16

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Solution

The fourth proportional to 99,477.82, 137,281.62 and 56,460.16 is: 77,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477.82 : 137,281.62 = 56,460.16 : x
  2. Step 2: Convert to fraction form
    99,477.82/137,281.62 = 56,460.16/x
  3. Step 3: Cross multiply
    99,477.82x = 137,281.62 × 56,460.16
  4. Step 4: Simplify right side
    99,477.82x = 7,750,942,230.26
  5. Step 5: Solve for x
    x = 7,750,942,230.26/99,477.82
  6. Step 6: Final answer
    x = 77,916.29

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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.