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Finding the Fourth Proportional to 130,896, 180,638.40 and 71,280

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Solution

The fourth proportional to 130,896, 180,638.40 and 71,280 is: 98,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 180,638.40 = 71,280 : x
  2. Step 2: Convert to fraction form
    130,896/180,638.40 = 71,280/x
  3. Step 3: Cross multiply
    130,896x = 180,638.40 × 71,280
  4. Step 4: Simplify right side
    130,896x = 12,875,905,152
  5. Step 5: Solve for x
    x = 12,875,905,152/130,896
  6. Step 6: Final answer
    x = 98,367.45

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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.