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Finding the Fourth Proportional to 84,510.69, 126,783.06 and 31,203.01

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Solution

The fourth proportional to 84,510.69, 126,783.06 and 31,203.01 is: 46,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510.69 : 126,783.06 = 31,203.01 : x
  2. Step 2: Convert to fraction form
    84,510.69/126,783.06 = 31,203.01/x
  3. Step 3: Cross multiply
    84,510.69x = 126,783.06 × 31,203.01
  4. Step 4: Simplify right side
    84,510.69x = 3,956,013,089.01
  5. Step 5: Solve for x
    x = 3,956,013,089.01/84,510.69
  6. Step 6: Final answer
    x = 46,810.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.