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Finding the Fourth Proportional to 130,545, 180,153.18 and 70,929

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Solution

The fourth proportional to 130,545, 180,153.18 and 70,929 is: 97,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,545 : 180,153.18 = 70,929 : x
  2. Step 2: Convert to fraction form
    130,545/180,153.18 = 70,929/x
  3. Step 3: Cross multiply
    130,545x = 180,153.18 × 70,929
  4. Step 4: Simplify right side
    130,545x = 12,778,084,904.22
  5. Step 5: Solve for x
    x = 12,778,084,904.22/130,545
  6. Step 6: Final answer
    x = 97,882.61

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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.