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Finding the Fourth Proportional to 137,509.84, 189,772.34 and 77,080.51

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Solution

The fourth proportional to 137,509.84, 189,772.34 and 77,080.51 is: 106,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.84 : 189,772.34 = 77,080.51 : x
  2. Step 2: Convert to fraction form
    137,509.84/189,772.34 = 77,080.51/x
  3. Step 3: Cross multiply
    137,509.84x = 189,772.34 × 77,080.51
  4. Step 4: Simplify right side
    137,509.84x = 14,627,748,751.09
  5. Step 5: Solve for x
    x = 14,627,748,751.09/137,509.84
  6. Step 6: Final answer
    x = 106,376.01

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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.