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Finding the Fourth Proportional to 152,886.40, 210,996.48 and 84,916.48

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Solution

The fourth proportional to 152,886.40, 210,996.48 and 84,916.48 is: 117,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886.40 : 210,996.48 = 84,916.48 : x
  2. Step 2: Convert to fraction form
    152,886.40/210,996.48 = 84,916.48/x
  3. Step 3: Cross multiply
    152,886.40x = 210,996.48 × 84,916.48
  4. Step 4: Simplify right side
    152,886.40x = 17,917,078,373.99
  5. Step 5: Solve for x
    x = 17,917,078,373.99/152,886.40
  6. Step 6: Final answer
    x = 117,192.10

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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.