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Finding the Fourth Proportional to 137,907, 190,328.04 and 77,477.76

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Solution

The fourth proportional to 137,907, 190,328.04 and 77,477.76 is: 106,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,907 : 190,328.04 = 77,477.76 : x
  2. Step 2: Convert to fraction form
    137,907/190,328.04 = 77,477.76/x
  3. Step 3: Cross multiply
    137,907x = 190,328.04 × 77,477.76
  4. Step 4: Simplify right side
    137,907x = 14,746,190,204.39
  5. Step 5: Solve for x
    x = 14,746,190,204.39/137,907
  6. Step 6: Final answer
    x = 106,928.51

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1.5x scale

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.