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Finding the Fourth Proportional to 145,431.99, 218,030.09 and 65,411.37

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Solution

The fourth proportional to 145,431.99, 218,030.09 and 65,411.37 is: 98,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,431.99 : 218,030.09 = 65,411.37 : x
  2. Step 2: Convert to fraction form
    145,431.99/218,030.09 = 65,411.37/x
  3. Step 3: Cross multiply
    145,431.99x = 218,030.09 × 65,411.37
  4. Step 4: Simplify right side
    145,431.99x = 14,261,646,561.07
  5. Step 5: Solve for x
    x = 14,261,646,561.07/145,431.99
  6. Step 6: Final answer
    x = 98,064.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.