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Finding the Fourth Proportional to 76,802.85, 105,975.07 and 42,803.91

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Solution

The fourth proportional to 76,802.85, 105,975.07 and 42,803.91 is: 59,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.85 : 105,975.07 = 42,803.91 : x
  2. Step 2: Convert to fraction form
    76,802.85/105,975.07 = 42,803.91/x
  3. Step 3: Cross multiply
    76,802.85x = 105,975.07 × 42,803.91
  4. Step 4: Simplify right side
    76,802.85x = 4,536,147,251.51
  5. Step 5: Solve for x
    x = 4,536,147,251.51/76,802.85
  6. Step 6: Final answer
    x = 59,062.23

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1.5x scale

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.