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Finding the Fourth Proportional to 118,946, 164,130.40 and 65,216.90

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Solution

The fourth proportional to 118,946, 164,130.40 and 65,216.90 is: 89,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 164,130.40 = 65,216.90 : x
  2. Step 2: Convert to fraction form
    118,946/164,130.40 = 65,216.90/x
  3. Step 3: Cross multiply
    118,946x = 164,130.40 × 65,216.90
  4. Step 4: Simplify right side
    118,946x = 10,704,075,883.76
  5. Step 5: Solve for x
    x = 10,704,075,883.76/118,946
  6. Step 6: Final answer
    x = 89,991.05

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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.