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Finding the Fourth Proportional to 145,935.40, 218,417.10 and 105,840.40

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Solution

The fourth proportional to 145,935.40, 218,417.10 and 105,840.40 is: 158,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,935.40 : 218,417.10 = 105,840.40 : x
  2. Step 2: Convert to fraction form
    145,935.40/218,417.10 = 105,840.40/x
  3. Step 3: Cross multiply
    145,935.40x = 218,417.10 × 105,840.40
  4. Step 4: Simplify right side
    145,935.40x = 23,117,353,230.84
  5. Step 5: Solve for x
    x = 23,117,353,230.84/145,935.40
  6. Step 6: Final answer
    x = 158,408.13

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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.