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Finding the Fourth Proportional to 130,512, 180,106.56 and 70,896

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Solution

The fourth proportional to 130,512, 180,106.56 and 70,896 is: 97,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 180,106.56 = 70,896 : x
  2. Step 2: Convert to fraction form
    130,512/180,106.56 = 70,896/x
  3. Step 3: Cross multiply
    130,512x = 180,106.56 × 70,896
  4. Step 4: Simplify right side
    130,512x = 12,768,834,677.76
  5. Step 5: Solve for x
    x = 12,768,834,677.76/130,512
  6. Step 6: Final answer
    x = 97,836.48

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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.