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Finding the Fourth Proportional to 130,653, 180,304.79 and 74,068.02

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Solution

The fourth proportional to 130,653, 180,304.79 and 74,068.02 is: 102,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,653 : 180,304.79 = 74,068.02 : x
  2. Step 2: Convert to fraction form
    130,653/180,304.79 = 74,068.02/x
  3. Step 3: Cross multiply
    130,653x = 180,304.79 × 74,068.02
  4. Step 4: Simplify right side
    130,653x = 13,354,818,421.48
  5. Step 5: Solve for x
    x = 13,354,818,421.48/130,653
  6. Step 6: Final answer
    x = 102,215.93

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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.