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Finding the Fourth Proportional to 137,485.62, 189,710.91 and 77,051.52

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Solution

The fourth proportional to 137,485.62, 189,710.91 and 77,051.52 is: 106,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,485.62 : 189,710.91 = 77,051.52 : x
  2. Step 2: Convert to fraction form
    137,485.62/189,710.91 = 77,051.52/x
  3. Step 3: Cross multiply
    137,485.62x = 189,710.91 × 77,051.52
  4. Step 4: Simplify right side
    137,485.62x = 14,617,513,976.08
  5. Step 5: Solve for x
    x = 14,617,513,976.08/137,485.62
  6. Step 6: Final answer
    x = 106,320.31

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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.