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Finding the Fourth Proportional to 152,455.36, 210,381.28 and 83,541.28

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Solution

The fourth proportional to 152,455.36, 210,381.28 and 83,541.28 is: 115,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,455.36 : 210,381.28 = 83,541.28 : x
  2. Step 2: Convert to fraction form
    152,455.36/210,381.28 = 83,541.28/x
  3. Step 3: Cross multiply
    152,455.36x = 210,381.28 × 83,541.28
  4. Step 4: Simplify right side
    152,455.36x = 17,575,521,419.24
  5. Step 5: Solve for x
    x = 17,575,521,419.24/152,455.36
  6. Step 6: Final answer
    x = 115,283.07

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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.