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Finding the Fourth Proportional to 78,644.86, 108,530.80 and 42,835.16

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Solution

The fourth proportional to 78,644.86, 108,530.80 and 42,835.16 is: 59,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.86 : 108,530.80 = 42,835.16 : x
  2. Step 2: Convert to fraction form
    78,644.86/108,530.80 = 42,835.16/x
  3. Step 3: Cross multiply
    78,644.86x = 108,530.80 × 42,835.16
  4. Step 4: Simplify right side
    78,644.86x = 4,648,934,347.17
  5. Step 5: Solve for x
    x = 4,648,934,347.17/78,644.86
  6. Step 6: Final answer
    x = 59,113.01

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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.