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Finding the Fourth Proportional to 130,688, 180,353.28 and 71,075.84

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Solution

The fourth proportional to 130,688, 180,353.28 and 71,075.84 is: 98,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688 : 180,353.28 = 71,075.84 : x
  2. Step 2: Convert to fraction form
    130,688/180,353.28 = 71,075.84/x
  3. Step 3: Cross multiply
    130,688x = 180,353.28 × 71,075.84
  4. Step 4: Simplify right side
    130,688x = 12,818,760,872.76
  5. Step 5: Solve for x
    x = 12,818,760,872.76/130,688
  6. Step 6: Final answer
    x = 98,086.75

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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.