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Finding the Fourth Proportional to 218,830.16, 301,985.36 and 118,228.16

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Solution

The fourth proportional to 218,830.16, 301,985.36 and 118,228.16 is: 163,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,830.16 : 301,985.36 = 118,228.16 : x
  2. Step 2: Convert to fraction form
    218,830.16/301,985.36 = 118,228.16/x
  3. Step 3: Cross multiply
    218,830.16x = 301,985.36 × 118,228.16
  4. Step 4: Simplify right side
    218,830.16x = 35,703,173,033.28
  5. Step 5: Solve for x
    x = 35,703,173,033.28/218,830.16
  6. Step 6: Final answer
    x = 163,154.72

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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.