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Finding the Fourth Proportional to 105,430.98, 145,493.46 and 57,683.64

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Solution

The fourth proportional to 105,430.98, 145,493.46 and 57,683.64 is: 79,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.98 : 145,493.46 = 57,683.64 : x
  2. Step 2: Convert to fraction form
    105,430.98/145,493.46 = 57,683.64/x
  3. Step 3: Cross multiply
    105,430.98x = 145,493.46 × 57,683.64
  4. Step 4: Simplify right side
    105,430.98x = 8,392,592,368.99
  5. Step 5: Solve for x
    x = 8,392,592,368.99/105,430.98
  6. Step 6: Final answer
    x = 79,602.72

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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.