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Finding the Fourth Proportional to 202,981.40, 304,212.90 and 156,001.40

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Solution

The fourth proportional to 202,981.40, 304,212.90 and 156,001.40 is: 233,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981.40 : 304,212.90 = 156,001.40 : x
  2. Step 2: Convert to fraction form
    202,981.40/304,212.90 = 156,001.40/x
  3. Step 3: Cross multiply
    202,981.40x = 304,212.90 × 156,001.40
  4. Step 4: Simplify right side
    202,981.40x = 47,457,638,298.06
  5. Step 5: Solve for x
    x = 47,457,638,298.06/202,981.40
  6. Step 6: Final answer
    x = 233,802.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.