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Finding the Fourth Proportional to 137,707.84, 190,056.72 and 76,468.24

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Solution

The fourth proportional to 137,707.84, 190,056.72 and 76,468.24 is: 105,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,707.84 : 190,056.72 = 76,468.24 : x
  2. Step 2: Convert to fraction form
    137,707.84/190,056.72 = 76,468.24/x
  3. Step 3: Cross multiply
    137,707.84x = 190,056.72 × 76,468.24
  4. Step 4: Simplify right side
    137,707.84x = 14,533,302,878.57
  5. Step 5: Solve for x
    x = 14,533,302,878.57/137,707.84
  6. Step 6: Final answer
    x = 105,537.22

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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.