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Finding the Fourth Proportional to 130,476.50, 180,054.50 and 76,764.98

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Solution

The fourth proportional to 130,476.50, 180,054.50 and 76,764.98 is: 105,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,476.50 : 180,054.50 = 76,764.98 : x
  2. Step 2: Convert to fraction form
    130,476.50/180,054.50 = 76,764.98/x
  3. Step 3: Cross multiply
    130,476.50x = 180,054.50 × 76,764.98
  4. Step 4: Simplify right side
    130,476.50x = 13,821,878,807.31
  5. Step 5: Solve for x
    x = 13,821,878,807.31/130,476.50
  6. Step 6: Final answer
    x = 105,933.86

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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.