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Finding the Fourth Proportional to 218,492.12, 301,547.87 and 123,017.42

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Solution

The fourth proportional to 218,492.12, 301,547.87 and 123,017.42 is: 169,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,492.12 : 301,547.87 = 123,017.42 : x
  2. Step 2: Convert to fraction form
    218,492.12/301,547.87 = 123,017.42/x
  3. Step 3: Cross multiply
    218,492.12x = 301,547.87 × 123,017.42
  4. Step 4: Simplify right side
    218,492.12x = 37,095,638,851.07
  5. Step 5: Solve for x
    x = 37,095,638,851.07/218,492.12
  6. Step 6: Final answer
    x = 169,780.22

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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.