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Finding the Fourth Proportional to 76,510.51, 105,597.05 and 63,743.45

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Solution

The fourth proportional to 76,510.51, 105,597.05 and 63,743.45 is: 87,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,510.51 : 105,597.05 = 63,743.45 : x
  2. Step 2: Convert to fraction form
    76,510.51/105,597.05 = 63,743.45/x
  3. Step 3: Cross multiply
    76,510.51x = 105,597.05 × 63,743.45
  4. Step 4: Simplify right side
    76,510.51x = 6,731,119,430.12
  5. Step 5: Solve for x
    x = 6,731,119,430.12/76,510.51
  6. Step 6: Final answer
    x = 87,976.41

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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.