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Finding the Fourth Proportional to 130,752, 180,440.64 and 71,136

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Solution

The fourth proportional to 130,752, 180,440.64 and 71,136 is: 98,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,752 : 180,440.64 = 71,136 : x
  2. Step 2: Convert to fraction form
    130,752/180,440.64 = 71,136/x
  3. Step 3: Cross multiply
    130,752x = 180,440.64 × 71,136
  4. Step 4: Simplify right side
    130,752x = 12,835,825,367.04
  5. Step 5: Solve for x
    x = 12,835,825,367.04/130,752
  6. Step 6: Final answer
    x = 98,169.25

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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.