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Finding the Fourth Proportional to 102,920.50, 142,030.29 and 55,816.50

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Solution

The fourth proportional to 102,920.50, 142,030.29 and 55,816.50 is: 77,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.50 : 142,030.29 = 55,816.50 : x
  2. Step 2: Convert to fraction form
    102,920.50/142,030.29 = 55,816.50/x
  3. Step 3: Cross multiply
    102,920.50x = 142,030.29 × 55,816.50
  4. Step 4: Simplify right side
    102,920.50x = 7,927,633,681.79
  5. Step 5: Solve for x
    x = 7,927,633,681.79/102,920.50
  6. Step 6: Final answer
    x = 77,026.77

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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.