Finding the Fourth Proportional to 105,156.99, 156,978.05 and 97,683.66
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Solution
The fourth proportional to 105,156.99, 156,978.05 and 97,683.66 is: 145,821.88
Step by Step Solution
- Step 1: Write the proportion equation
105,156.99 : 156,978.05 = 97,683.66 : x - Step 2: Convert to fraction form
105,156.99/156,978.05 = 97,683.66/x - Step 3: Cross multiply
105,156.99x = 156,978.05 × 97,683.66 - Step 4: Simplify right side
105,156.99x = 15,334,189,975.24 - Step 5: Solve for x
x = 15,334,189,975.24/105,156.99 - Step 6: Final answer
x = 145,821.88
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.