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Finding the Fourth Proportional to 137,783.84, 190,140.08 and 77,352.98

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Solution

The fourth proportional to 137,783.84, 190,140.08 and 77,352.98 is: 106,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.84 : 190,140.08 = 77,352.98 : x
  2. Step 2: Convert to fraction form
    137,783.84/190,140.08 = 77,352.98/x
  3. Step 3: Cross multiply
    137,783.84x = 190,140.08 × 77,352.98
  4. Step 4: Simplify right side
    137,783.84x = 14,707,900,467.97
  5. Step 5: Solve for x
    x = 14,707,900,467.97/137,783.84
  6. Step 6: Final answer
    x = 106,746.20

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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.