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Finding the Fourth Proportional to 77,840.80, 107,421.49 and 46,012.66

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Solution

The fourth proportional to 77,840.80, 107,421.49 and 46,012.66 is: 63,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840.80 : 107,421.49 = 46,012.66 : x
  2. Step 2: Convert to fraction form
    77,840.80/107,421.49 = 46,012.66/x
  3. Step 3: Cross multiply
    77,840.80x = 107,421.49 × 46,012.66
  4. Step 4: Simplify right side
    77,840.80x = 4,942,748,285.03
  5. Step 5: Solve for x
    x = 4,942,748,285.03/77,840.80
  6. Step 6: Final answer
    x = 63,498.17

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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.