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Finding the Fourth Proportional to 99,477.86, 137,238.80 and 61,225.83

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Solution

The fourth proportional to 99,477.86, 137,238.80 and 61,225.83 is: 84,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477.86 : 137,238.80 = 61,225.83 : x
  2. Step 2: Convert to fraction form
    99,477.86/137,238.80 = 61,225.83/x
  3. Step 3: Cross multiply
    99,477.86x = 137,238.80 × 61,225.83
  4. Step 4: Simplify right side
    99,477.86x = 8,402,559,132.07
  5. Step 5: Solve for x
    x = 8,402,559,132.07/99,477.86
  6. Step 6: Final answer
    x = 84,466.63

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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.